~/talk

How to Compress Asymmetric Communication

slides:none on file

Provides two concrete compression schemes and one explicit bound that helps when information is lopsided: converts any protocol into a bounded‑round “guess K bits” protocol using public randomness guessing, then applies Braverman–Rao to get communication about I_A + C^{3/4} I_B^{1/4} by setting K = C^{1/4} I_B^{-1/4} so rounds ≈ C^{3/4} I_B^{1/4}. Analysis uses Pinsker, Cauchy‑Schwarz and chain rule to bound expected mistakes and information; a small‑ε example shows the key lemma is tight.

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  1. 0:00Start
  2. 5:31Asymmetric Communication
  3. 16:20Analysis
  4. 17:28Information Content
  5. 18:14Information learnt by Bob
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